Atkin-Lehner |
2+ 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240i |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
3696994904400 = 24 · 39 · 52 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76842,-8198199] |
[a1,a2,a3,a4,a6] |
j |
159333984479232/11739175 |
j-invariant |
L |
3.4409872909755 |
L(r)(E,1)/r! |
Ω |
0.28674893238855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93240bd1 |
Quadratic twists by: -3 |